Rise of Kp Total Cross Section and Universality

TL;DR

This paper investigates the universal behavior of the coefficient B in the high-energy total cross section formula, using sum rules and data analysis to support the universality hypothesis across different hadronic scatterings.

Contribution

It provides a more precise estimate of B(Kp) using continuous moment sum rules, strengthening evidence for the universality of B in hadronic total cross sections.

Findings

B(Kp) estimate is significantly improved.

Results support the universality of the coefficient B.

Analysis confirms consistency across different scattering processes.

Abstract

The increase of the measured hadronic total cross sections at the highest energies is empirically described by squared log of center-of-mass energy sqrt s as sigma(tot)= B (log s)2, consistent with the energy dependence of the Froissart unitarity bound. The coefficient B is argued to have a universal value, but this is not proved directly from QCD. In the previous tests of this universality, the p(pbar)p, pi p, and K p forward scatterings were analyzed independently and found to be consistent with B(pp) = B(pip) = B(Kp), although the determined value of B(Kp) had large uncertainty. In the present work, we have further analyzed forward Kp scattering to obtain a more exact value of B(Kp). Making use of continuous moment sum rules(CMSR) we have fully exploited the information of low-energy scattering data to predict the high-energy behavior of the amplitude hrough duality. The estimation of B(Kp) is improved remarkably, and our result strongly supports the universality of B.